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Finding the Fourth Proportional to 329.71, 494.34 and 214.21

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Solution

The fourth proportional to 329.71, 494.34 and 214.21 is: 321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.71 : 494.34 = 214.21 : x
  2. Step 2: Convert to fraction form
    329.71/494.34 = 214.21/x
  3. Step 3: Cross multiply
    329.71x = 494.34 × 214.21
  4. Step 4: Simplify right side
    329.71x = 105,889.03
  5. Step 5: Solve for x
    x = 105,889.03/329.71
  6. Step 6: Final answer
    x = 321.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.